Question
Solve the equation
x∈∅
Alternative Form
No solution
Evaluate
log10(5)×(7−x)=log10(5)×(3−x)×1
Multiply the terms
log10(5)×(7−x)=log10(5)×(3−x)
Calculate
More Steps

Evaluate
log10(5)×(7−x)
Apply the distributive property
log10(5)×7−log10(5)×x
Use the commutative property to reorder the terms
7log10(5)−log10(5)×x
7log10(5)−log10(5)×x=log10(5)×(3−x)
Calculate
More Steps

Evaluate
log10(5)×(3−x)
Apply the distributive property
log10(5)×3−log10(5)×x
Use the commutative property to reorder the terms
3log10(5)−log10(5)×x
7log10(5)−log10(5)×x=3log10(5)−log10(5)×x
Move the expression to the left side
7log10(5)−log10(5)×x−(3log10(5)−log10(5)×x)=0
Calculate
More Steps

Add the terms
7log10(5)−log10(5)×x−(3log10(5)−log10(5)×x)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
7log10(5)−log10(5)×x−3log10(5)+log10(5)×x
Subtract the numbers
More Steps

Evaluate
7log10(5)−3log10(5)
Collect like terms by calculating the sum or difference of their coefficients
(7−3)×log10(5)
Subtract the numbers
4log10(5)
4log10(5)−log10(5)×x+log10(5)×x
The sum of two opposites equals 0
More Steps

Evaluate
−log10(5)×x+log10(5)×x
Collect like terms
(−log10(5)+log10(5))x
Add the coefficients
0×x
Calculate
0
4log10(5)+0
Remove 0
4log10(5)
4log10(5)=0
Calculate
2.79588=0
Solution
x∈∅
Alternative Form
No solution
Show Solution
